本文主要是以古典殼理論為基礎，根據不同的假設所對應的四種殼理論（Love, Flügge, Donnell, Sanders 理論），進行正交性複合圓柱層殼受溫度作用下之挫曲分析。

　　在推導各種古典理論基本方程式的過程中，除了本身各理論上的假設外，還依據材料特性和物理性質作了簡化公式的假設。為了使求解程序具較佳之效率，代入了適當之無因次化場量變數參數；本文將理論推導出的控制方程以位移場表示，利用求解特徵值的方式，求解各式不同的古典殼理論之複合圓柱層殼臨界挫曲溫度，並計算在此臨界溫度作用下，殼之模態應力與應變場，並進行綜合相互比較。

　　數值範例上，本文針對各種不同正交疊層排列情形，分析圓柱層殼挫曲行為。參數分析中則改變幾何參數，求解層殼受溫度下的挫曲應變與挫曲應力，並討論各理論的差異作評估比較。

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Anderson, M. S., Thermal Buckling of Cylinders, NASA, TN-D 1510, pp. 255-265,
1962.

Donnell, L. H., Beams, Plates and Shells, McGraw-Hill, New York, 1976.

Eslami, M. R. and Javaheri, R., Buckling of composite cylindrical shells under
mechanical and thermal loads, J. of Thermal Stress, vol. 22, pp. 527-545, 1999.

Flügge, W., Stresses in Shells, Springer-Verlag, New York, 1973.

Gupta, S. D. and Wang, I. C., Thermal buckling of orthotropic cylindrical shells.

Fibre Sci. Thchnol, vol. 6, pp. 39-45, 1973.

Kadi, A. S., A study and Comparison of the Equations of Thin Shell Theories, Ph. D. Thesis, The Ohio State University, Columbus, 1970.

Kapania, R. K., A review on the analysis of laminated shells, J. Pressure Vessel Tech., vol. 111, pp. 88-96, 1989.

Kraus, H., Thin Elastic Shells, Wiley, New York, 1967.

Love, A. E. E., A Treatise on the Mathematical Theory of Elasticity, Dover, New
York, 1944.

Noor, A. K. and Burton, W. S., Assessmend of computational models for
multilayered composite shells, Appl. Mech. Rev., vol. 43, pp. 67-97, 1990.

Radhamohan, S. K. and Venkataramana, J., Thermal Buckling od Orthotropic
Cylindrical Shells, AIAA J., vo. l13, pp. 397-399, 1975.

Reddy, J. N., A review of refined throries of laminated composite plates, Shock
Vibration Digest, vol. 22, pp. 3-17, 1990.

Sanders, J. L., An improved first approximation theory for thin shells,
NASA-TR-R24, 1959.

Soldatos, K. P., Review of three dimensional dynamic analyses of circular cylinders and cylindrical shells, Appl. Mech. Rev.,ASME, vol. 47, pp. 501-516, 1994.

Thangaratnam, R. K., Palaninathan, R. and Ramachandran, J., Thermal Buckling of
Laminated Comosite Shells, AIAA J., vol. 28, 859-860, 1990.